The Ginzburg--Landau Order Parameter near the Second Critical Field
نویسندگان
چکیده
منابع مشابه
On the Ginzburg-landau Critical Field in Three Dimensions
We study the three dimensional Ginzburg-Landau model of superconductivity. Several ‘natural’ definitions of the (third) critical field, HC3 , governing the transition from the superconducting state to the normal state, are considered. We analyze the relation between these fields and give conditions as to when they coincide. An interesting part of the analysis is the study of the monotonicity of...
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Using recent results by the authors on the spectral asymptotics of the Neumann Laplacian with magnetic field, we give precise estimates on the critical field, HC3 , describing the appearance of superconductivity in superconductors of type II. Furthermore, we prove that the local and global definitions of this field coincide. Near HC3 only a small part, near the boundary points where the curvatu...
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ژورنال
عنوان ژورنال: SIAM Journal on Mathematical Analysis
سال: 2014
ISSN: 0036-1410,1095-7154
DOI: 10.1137/130935963